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Finding the Third Proportional to 166,285 and 253,580

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Solution

The third proportional to 166,285 and 253,580 is: 386,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,285 : 253,580 = 253,580 : x
  2. Step 2: Convert to fraction form
    166,285/253,580 = 253,580/x
  3. Step 3: Cross multiply
    166,285x = 253,580 × 253,580
  4. Step 4: Simplify right side
    166,285x = 64,302,816,400
  5. Step 5: Solve for x
    x = 64,302,816,400/166,285
  6. Step 6: Final answer
    x = 386,702.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.